Question

Perfect Pipes charges $120 plus $40 an

hour to make plumbing repairs. No Leaks
Here charges $50 plus $60 an hour. For
how many hours is Perfect Pipes less
expensive than No Leaks Here?

Answer 1

Answer: After 3.5 hours, Perfect pipes is less expensive than No leaks here.

Explanation:

Let the number of hours be 'h'.

So, Perfect pipes charges $120 plus $40 per hour.

so, our equation becomes,

`f(h)=120+40h`

No leaks charges $50 plus $60 per hour.

So, our equation becomes,

`g(h)=50+60h`

According to question, Perfect pipes is less expensive than no leaks here after how many hours.

So, it becomes,

`120+40h<50+60h\\\\120-50<60h-40h\\\\70<20h\\\\(70)/(20)<h\\\\3.5<h`

Hence, After 3.5 hours, Perfect pipes is less expensive than No leaks here.

Answer 2

Hey!

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Prefect Pipes: 120 + 40 = $160 (y-intercept)

No Leaks Here: 50 + 60 = $110 (y-intercept)

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Hour #1:

Prefect Pipes: 160 + 40 = $200

No Leaks Here: 110 + 60 = $170

Hour #2:

Prefect Pipes: 200 + 40 = $240

No Leaks Here: 170 + 60 = $230

Hour #3:

Prefect Pipes: 240 + 40 = $280

No Leaks Here: 230 + 60 = $290

-------------------------------------------------

$280 < $290

After 3 hours Perfect Pipes is less expensive than No Leaks Here!

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Hope This Helped! Good Luck!